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arXiv:0803.4001 · New Journal of Physics

Route to ponderomotive entanglement of light via optically trapped mirrors

Christopher C. Wipf, T. R. Corbitt, Yanbei Chen, N. Mavalvala

Published Sep 30, 2008• 35 citations
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Abstract

The radiation pressure of two laser beams detuned from resonance in an optical cavity can create a stable optical trap for a mechanical oscillation mode of a movable cavity mirror. Here it is shown that such a configuration entangles the output light fields via interaction with a mirror that is suspended as a pendulum. The degree of entanglement is quantified spectrally using the logarithmic negativity, and related to the available optical restoring force. Entanglement survives in the experimentally accessible regime of gram-scale masses subject to thermal noise at room temperature.

DOI
10.1088/1367-2630/10/9/095017

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The radiation pressure of two laser beams detuned from resonance in an optical cavity can create a stable optical trap for a mechanical oscillation mode of a movable cavity mirror. Here it is shown that such a configuration entangles the output light fields via interaction with a mirror that is suspended as a pendulum. The degree of entanglement is quantified spectrally using the logarithmic negativity, and related to the available optical restoring force. Entanglement survives in the experimentally accessible regime of gram-scale masses subject to thermal noise at room temperature.
Quantum entanglement is the key to many applications like quantum key distribution, quantum teleportation, and quantum sensing. However, reliably generating quantum entanglement in macroscopic systems has proven to be a challenge. Here, we present a detailed analysis of ponderomotive entanglement generation in a movable-end-mirror-type optomechanical cavity. These cavities utilize optomechanical interactions between the intracavity field and the end mirror to create quantum correlations. We numerically calculate an entanglement measure, the logarithmic negativity, for the quantitative assessment of the entanglement. Experimental limitations, including thermal noise and optical loss, from measurements of an existing experiment were included in the calculation, which is intractable to solve analytically. This analysis shows that lowering optical losses and measurement uncertainties is more important than temperature for observation of the entanglement in movable-end-mirror-type optomechanical cavity experiments. This work will play an important role in the development of ponderomotive entanglement devices.
We show the possibility to entangle radiation modes through a simple reflection on a moving mirror. The model of an optical cavity having a movable end mirror, and supporting different modes is employed. The mechanical motion of the mirror mediates information between the modes leading to an effective mode-mode interaction. We characterize the modes' entanglement on the basis of recent separability criteria. The effect of the thermal noise associate to the mirror's motion is accounted for. Then, we evaluate the performances of such ponderomotive entanglement in possible applications like teleportation and telecloning.
We analyze the optical bistability and the entanglement of two movable mirrors coupled to a two-mode laser in a doubly resonant cavity. We show that in stark contrast to the usual red-detuned condition for observing bistability in single-mode optomechanics, the optical intensities exhibit bistability for all values of cavity laser detuning due to intermode coupling induced by two-photon atomic coherence. Interestingly, an unconventional bistability with “ribbon”-shaped hysteresis can be observed for a certain range of cavity laser detuning. We also demonstrate that the atomic coherence leads to a strong entanglement between the movable mirrors in the adiabatic regime. Surprisingly, the mirror–mirror entanglement is shown to persist for environment temperatures of the phonon bath up to 12 K using experimental parameters.